Lattice Realizations of Flat Gauging and T-duality Defects at Any Radius
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866918438484574208 |
|---|---|
| author | Argurio, Riccardo Galati, Giovanni Godechal, Nathan |
| author_facet | Argurio, Riccardo Galati, Giovanni Godechal, Nathan |
| contents | We analyze non-invertible topological interfaces and defects in the two-dimensional compact boson, focusing on the more exotic ones obtained by gauging continuous symmetries with flat connections on a half-space. These include interfaces between mutually irrational radii and T-duality symmetries at arbitrary boson radius. Using the modified Villain discretization on both a Euclidean two-dimensional square lattice and a quantum one-dimensional chain, we show that all these topological interfaces survive discretization and give rise to non-compact edge modes localized at the defect sites. Such non-compact edge modes imply a continuous defect spectrum and an infinite quantum dimension. In the special case of rational radii, we show how the defect action or Hamiltonian can be modified in order to compactify the edge modes and produce more standard defects with finite quantum dimension. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_09126 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Lattice Realizations of Flat Gauging and T-duality Defects at Any Radius Argurio, Riccardo Galati, Giovanni Godechal, Nathan High Energy Physics - Theory Strongly Correlated Electrons High Energy Physics - Lattice We analyze non-invertible topological interfaces and defects in the two-dimensional compact boson, focusing on the more exotic ones obtained by gauging continuous symmetries with flat connections on a half-space. These include interfaces between mutually irrational radii and T-duality symmetries at arbitrary boson radius. Using the modified Villain discretization on both a Euclidean two-dimensional square lattice and a quantum one-dimensional chain, we show that all these topological interfaces survive discretization and give rise to non-compact edge modes localized at the defect sites. Such non-compact edge modes imply a continuous defect spectrum and an infinite quantum dimension. In the special case of rational radii, we show how the defect action or Hamiltonian can be modified in order to compactify the edge modes and produce more standard defects with finite quantum dimension. |
| title | Lattice Realizations of Flat Gauging and T-duality Defects at Any Radius |
| topic | High Energy Physics - Theory Strongly Correlated Electrons High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2604.09126 |